1. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 1. 45, 75 2. 123, 205 3. 459, 378 LCM 4. 12, 15

2. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 1. 45, 75

3. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 1. 45, 75 45: 1, 3, 5, 9, 15, 45 75: 1, 3, 5, 15, 25, 75 GCF = 3 x 5 = 15 45 75 / \ / \ 315 3 25 / \ / \ 3 5 5 5

4. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 2. 123, 205

5. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 2. 123, 205 123: 1, 3, 41, 123 205, 1, 5, 41, 205 GCF = 41 123 205 / \ / \ 3 41 5 41

6. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 3. 459, 378

7. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. GCF 3. 459, 378 GCF = 3 x 3 x 3 = 27 459 378 / \ / \ 3 153 2 189 / \ / \ 3 51 3 63 / \ / \ 3 17 3 21 / \ 3 7

8. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. LCM 4. 12, 15

9. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. LCM 4. 12, 15 12: 12, 24, 36, 48, 60, 72, 84….. 15: 15, 30, 45, 60, 75……. Or,

10. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. LCM 4. 12, 15 12 15 / \ / \ 2 6 3 5 / \ 2 3

11. 5 Minute Check Use rainbow factors, factor trees or multiples lists method to find the following. LCM 4. 12, 15 LCM = 2 x 2 x 3 x 5 = 60

12. Friday, Dec 5 Chapter 6.1 Review

13. Chapter 6.1 Review 1. The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see?

14. Chapter 6.1 Review 1. The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see? Method 1 2cats x cats 5 dogs = 40 dogs 2 x 40 ÷ 5 = 16 cats

15. Chapter 6.1 Review 1. The ratio of cats to dogs seen by a veterinarian in one day is 2 to 5. If a vet saw 40 dogs in one day, how many cats did he see? Method 2 5 dogs 2.5 dogs 2 cats = 1 cat 40 ÷ 2.5 = 16 cats

16. Chapter 6.1 Review 2. At a sports camp, there is one counselor for every 12 campers. If there are 156 campers attending the camp, which equivalent ratios could be used to find the number of counselors?

17. Chapter 6.1 Review 2. At a sports camp, there is one counselor for every 12 campers. If there are 156 campers attending the camp, which equivalent ratios could be used to find the number of counselors? 1 counselor x counselors 12 campers = 156 campers 1 x 156 ÷ 12 = 13

18. Chapter 6.1 Review 3. GRIDDED RESPONSE A car jack requires a force of 110 pounds to lift a 2,500-pound car. In simplest form, what is the ratio of the car’s weight to the force required to lift the car?

19. Chapter 6.1 Review 3. GRIDDED RESPONSE A car jack requires a force of 110 pounds to lift a 2,500-pound car. In simplest form, what is the ratio of the car’s weight to the force required to lift the car? Car’s weight 2,500 lbs 250 Lift 110 lbs = 11

20. Chapter 6.1 Review 4. A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar.

21. Chapter 6.1 Review 4. A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar. 2 cups sugar 18 cups sugar 3 cups flour = x cups flour 3 x 18 ÷ 2 = 27 cups flour

22. Chapter 6.1 Review 5. Which rate gives the best price for scrapbook paper?

23. Chapter 6.1 Review 5. Which rate gives the best price for scrapbook paper? 10 sheets 5 sheets $2 = $1 6 sheets 10 sheets $.60 = $1 5 sheets $1 3 sheets 5 sheets $.60 = $1

24. Chapter 6.1 Review 6. Which of the following ratios is equivalent to ? A. B. C. D.

25. Chapter 6.1 Review

26. 7. The table shows the cups of whole wheat flour required to make dog biscuits. How many cups of whole wheat flour are required to make 35 biscuits?

27. Chapter 6.1 Review 7. The table shows the cups of whole wheat flour required to make dog biscuits. How many cups of whole wheat flour are required to make 35 biscuits? 10 biscuits 35 biscuits 2 cups flour = x cups flour 2 x 35 ÷ 10 = 7 cups

28. Chapter 6.1 Review 8. A school population was predicted to increase by 50 students a year for the next 10 years. If the current population is 700 students, what will be the enrollment after 10 years?

29. Chapter 6.1 Review 8. A school population was predicted to increase by 50 students a year for the next 10 years. If the current population is 700 students, what will be the enrollment after 10 years? 700 students + 50 a year x 10 years = 1200 students

30. Chapter 6.1 Review 8. A school population was predicted to increase by 50 students a year for the next 10 years. If the current population is 700 students, what will be the enrollment after 10 years? 700 750 – year 11000 – year 6 800 – year 21050 – year 7 850 – year 31100 – year 8 900 – year 41150 – year 9 950 – year 51200 – year 10

31. Chapter 6.1 Review 9. SHORT RESPONSE There are 12 boys and 15 girls in your class. Four new students, 3 boys and 1 girl, join your class. Compare the ratio of boys to girls before and after the new students enrolled.

32. Chapter 6.1 Review 9. SHORT RESPONSE There are 12 boys and 15 girls in your class. Four new students, 3 boys and 1 girl, join your class. Compare the ratio of boys to girls before and after the new students enrolled. before Boys12 4 Girls15 = 5 after Boys15 Girls16 The ratio did not stay the same because they cannot be simplified to the same ratio.

33. Chapter 6.1 Review 10. The table shows the cost of different kinds of fruit. To the nearest cent, what is the cost of 3.5 pounds of grapes?

34. Chapter 6.1 Review 10. The table shows the cost of different kinds of fruit. To the nearest cent, what is the cost of 3.5 pounds of grapes? $1 $ x 1 lb = 3.5 lbs 1 x 3.5 ÷ 1 = $3.50

35. Chapter 6.1 Review 11.GRIDDED RESPONSE Mr. Reinard bought 5 pounds of feed for his chickens for $10. How much did the feed cost per pound in dollars?

36. Chapter 6.1 Review 11.GRIDDED RESPONSE Mr. Reinard bought 5 pounds of feed for his chickens for $10. How much did the feed cost per pound in dollars? $10 $ x 5 lbs feed = 1 lb feed 10 x 1 ÷ 5 = $2 per lb feed

37. Chapter 6.1 Review 12. SHORT RESPONSE The length of a track around a football field is mile. How many miles do you walk if you walk 2 times around the track?

38. Chapter 6.1 Review

39. 13. The bar graph below shows the average number of visitors to different websites during one month. How many visitors can website B expect to have in one year?

40. Chapter 6.1 Review 13. The bar graph below shows the average number of visitors to different websites during one month. How many visitors can website B expect to have in one year? 2 million visitors x million visitors 1 month = 12 months 2 x 12 ÷ 1 = 24 million visitors

41. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part A Write an equivalent ratio to find how long it would take to sort 120 books. Part B How many hours will it take the class to sort 120 books? Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books? Explain your reasoning.

42. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part A Write an equivalent ratio to find how long it would take to sort 120 books. 45 books 120 books 90 minutes = x minutes 90 x 120 ÷ 45 = 240 minutes

43. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part B How many hours will it take the class to sort 120 books?

44. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part B How many hours will it take the class to sort 120 books? 1 hour x hours 60 minutes = 240 minutes 1 x 240 ÷ 60 = 4 hours

45. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books? Explain your reasoning.

46. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books? Explain your reasoning. 30 books 120 books 90 minutes = x minutes 90 x 120 ÷ 30 = 360 minutes

47. Chapter 6.1 Review 14. EXTENDED RESPONSE Cesar’s sixth-grade class sorted books in the library. The class sorted 45 books in 90 minutes. Part C Suppose their rate slowed to 30 books in 90 minutes. How long would it take the class to sort the 120 books? Explain your reasoning. Reasoning: it would take the class 360 minutes or 6 hours to collect 120 books at the slower rate.

48. Chapter 6.1 Review Agenda Notes Homework– Homework Practice CH 6.1 Review Due Monday, December 8 Semester Exam Thursday, Dec 18